Proving that diagonals of a parallelogram bisect each other

  • Thread starter Thread starter frozen7
  • Start date Start date
  • Tags Tags
    Parallelogram
AI Thread Summary
To prove that the diagonals of a parallelogram bisect each other using vector methods, one can start by defining the vertices of the parallelogram as vectors. By showing that the triangles formed by the diagonals are congruent, it can be established that the segments created by the intersection of the diagonals are equal in length. The hint to look for congruent triangles is crucial, as it leads to the conclusion that each diagonal divides the parallelogram into two equal parts. This proof relies on the properties of vector addition and the characteristics of parallelograms. Ultimately, the diagonals of a parallelogram indeed bisect each other.
frozen7
Messages
163
Reaction score
0
I am not sure whether this question should be posted here or not.

4. Using vector methods, prove that the diagonals of a parallelogram bisect each other.

I have no idea at all how to start. Any clues?
 
Physics news on Phys.org
HINT: Look for congruent triangles.

Also, this is a math problem - not a physics problem.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

MHB Prove Equal Area Triangle & Parallelogram, $\angle ADC=90^{\circ}$
Replies
9
Views
3K
Engineering Resultant Force and Direction using Parallelogram Law
Replies
6
Views
3K
MHB Need help with parallelogram proof
Replies
1
Views
1K
Prove Diagonals of Parallelograms Bisect w/ Vector Method
Replies
5
Views
16K
Engineering Statics (Vector Questions)
Replies
7
Views
3K
Proof using vector geometry, I need some direction please.
Replies
1
Views
4K
How to Prove Diagonals Bisect in a Parallelogram
Replies
2
Views
2K
Find the amount of a vector acting in the direction of another vector.
Replies
3
Views
2K
MHB Real world trigonometry problem making furniture
Replies
1
Views
2K
Correct Setup for Finite Difference to Calculate Quantum Tunneling
Replies
2
Views
885

Hot Threads

Recent Insights

Back
Top